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y = cos ^(-1)((2x)/(1 +x^(2))),-1 lt x l...

`y = cos ^(-1)((2x)/(1 +x^(2))),-1 lt x lt1`

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To solve the problem step by step, we start with the given function: ### Step 1: Define the function Given: \[ y = \cos^{-1}\left(\frac{2x}{1 + x^2}\right) \] where \( -1 < x < 1 \). ### Step 2: Use a trigonometric substitution ...
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